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138202203984 = 243131511466741
BaseRepresentation
bin1000000010110101111…
…1100100011101010000
3111012201112211101020120
42000231133210131100
54231014231011414
6143253400510240
712661531231335
oct2005537443520
9435645741216
10138202203984
115367a5a5409
122294b77b380
1310056294180
14699096a98c
1538dcea12a9
hex202d7e4750

138202203984 has 80 divisors (see below), whose sum is σ = 387032145024. Its totient is φ = 42242112000.

The previous prime is 138202203959. The next prime is 138202204001. The reversal of 138202203984 is 489302202831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639147 + ... + 827594.

Almost surely, 2138202203984 is an apocalyptic number.

It is an amenable number.

138202203984 is an abundant number, since it is smaller than the sum of its proper divisors (248829941040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138202203984 is a wasteful number, since it uses less digits than its factorization.

138202203984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466916 (or 1466910 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 138202203984 in words is "one hundred thirty-eight billion, two hundred two million, two hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 151 156 208 302 312 453 604 624 906 1208 1812 1963 2416 3624 3926 5889 7248 7852 11778 15704 23556 31408 47112 94224 1466741 2933482 4400223 5866964 8800446 11733928 17600892 19067633 23467856 35201784 38135266 57202899 70403568 76270532 114405798 152541064 221477891 228811596 305082128 442955782 457623192 664433673 885911564 915246384 1328867346 1771823128 2657734692 2879212583 3543646256 5315469384 5758425166 8637637749 10630938768 11516850332 17275275498 23033700664 34550550996 46067401328 69101101992 138202203984